Girs: boys = 7:5
42 : boys = 7: 5
42 : b = 7 : 5
42 / b = 7 / 5 Cross multiply
b*7 = 42 * 5
7b = 42* 5
b = 42*5/7 = 6*5 = 30
boys that participated are 30.
Answer:
Explanation:
(3/14)k - 1 - 4 - (2/7)k = 0
(3/14)k - (4/14)k - 5 = 0
(-1/14)k = 5
-k = 5 x 14
k = -70
Answer:
In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.
Step-by-step explanation:
First of all, recall that division by zero is undefined; it's nonsensical; it's just not allowed.So zero certainly needs to be excluded when dividing.
But what about multiplying by zero?
The problem is that multiplying by zero can change the truth of an equation:
It can take a false equation to a true equation.
To see this, consider the false equation ‘
2 = 3
Multiplying both sides by zero results in the new equation
2 ⋅ 0 = 3 ⋅0 (that is, ‘0 = 0’), which is true.
Answer:
I would say B...the cost increase for each additional hat......A. would also be partially true, because 1 hat is $35 dollars, but you pay less per hat when you buy more than one, otherwise the cost of 10 hats would be over $300.... C is also true, 9 hats is $160, but that is shown by the graph, the questions is referring to what the slope of the graph shows, not one specific point on the graph ....so I'd say B answers this specific question more accurately...and D is also partially true, because 10 hats here, is $175, but the cost of each hat is less with the more hats you buy, so if you were to buy 10 more hats and add that to the graph the next 10 would not be another $175 for a total of $350...it'd be slightly cheaper because you've ordered 20 instead of 10 and the individual cost would continue to decrease.. so although all these answers are at least partially true, I would go with B, because it answers the question most accurately regarding the slope of the line and not just the graph or price ....